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Finding the Third Proportional to 470,430 and 706,705

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Solution

The third proportional to 470,430 and 706,705 is: 1,061,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,430 : 706,705 = 706,705 : x
  2. Step 2: Convert to fraction form
    470,430/706,705 = 706,705/x
  3. Step 3: Cross multiply
    470,430x = 706,705 × 706,705
  4. Step 4: Simplify right side
    470,430x = 499,431,957,025
  5. Step 5: Solve for x
    x = 499,431,957,025/470,430
  6. Step 6: Final answer
    x = 1,061,649.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.